(a)[5]
Write $f(x)$ in partial fractions.
(b)[5]
Hence find the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^2$.
(c)[1]
State the set of $x$ values for which the expansion in (b) is valid.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Take $f(x) = \dfrac{24x + 13}{(1 - 2x)(2 + x)^2}$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or infer the partial fraction decomposition $\frac{A}{1-2x}+\frac{B}{2+x}+\frac{C}{(2+x)^2}$” …
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